The value of sin²α + sin²β + sin²γ for a line making angles α, β, γ with the coordinate axes is:
The value of sin²α + sin²β + sin²γ for a line making angles α, β, γ with the coordinate axes is:
- A. 0
- B. 1
- C. 2
- D. 3
Answer: C) 2
Explanation: sin²α + sin²β + sin²γ = (1 − cos²α) + (1 − cos²β) + (1 − cos²γ) = 3 − (cos²α + cos²β + cos²γ) = 3 − 1 = 2.
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